On the nonlinear Volterra equation with conformable derivative

Yıl 2023, Cilt: 7 Sayı: 2, 292 - 302, 23.07.2023

Tuan Nguyen Hoang Hai Nguyen Minh Nguyen Duc Phuong

https://doi.org/10.31197/atnaa.1281575

Cited By: 1

https://izlik.org/JA97LC73XX

Öz

In this paper, we are interested to study a nonlinear Volterra equation with conformable derivative. This kind of such equation has various applications, for example physics, mechanical engineering, heat conduction theory.
First, we show that our problem have a mild soltution which exists locally in time. Then we prove that the convergence of the mild solution when the parameter tends to zero.

Anahtar Kelimeler

conformable differential equation , memory term , local existence , Banach fixed point theorem

Proje Numarası

This research is funded by Vietnam National University HoChiMinh City (VNU-HCM) under grant number C2022-44-12.

Kaynakça

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